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2530413000 = 23335393719
BaseRepresentation
bin1001011011010011…
…0000100111001000
320112100102022002000
42112310300213020
520140241204000
61055031311000
7116464104243
oct22664604710
96470368060
102530413000
111089396815
125a751b460
1331431a3cb
141a00ca25a
15ec237000
hex96d309c8

2530413000 has 128 divisors (see below), whose sum is σ = 8772192000. Its totient is φ = 674769600.

The previous prime is 2530412971. The next prime is 2530413001. The reversal of 2530413000 is 3140352.

2530413000 is a `hidden beast` number, since 2 + 530 + 4 + 130 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2530413001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19860 + ... + 73859.

It is an arithmetic number, because the mean of its divisors is an integer number (68532750).

Almost surely, 22530413000 is an apocalyptic number.

2530413000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2530413000 is an abundant number, since it is smaller than the sum of its proper divisors (6241779000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2530413000 is a wasteful number, since it uses less digits than its factorization.

2530413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93749 (or 93729 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2530413000 is about 50303.2106331196. The cubic root of 2530413000 is about 1362.6902127617.

Adding to 2530413000 its reverse (3140352), we get a palindrome (2533553352).

The spelling of 2530413000 in words is "two billion, five hundred thirty million, four hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 125 135 150 180 200 216 225 250 270 300 360 375 450 500 540 600 675 750 900 1000 1080 1125 1350 1500 1800 2250 2700 3000 3375 4500 5400 6750 9000 13500 27000 93719 187438 281157 374876 468595 562314 749752 843471 937190 1124628 1405785 1686942 1874380 2249256 2342975 2530413 2811570 3373884 3748760 4217355 4685950 5060826 5623140 6747768 7028925 8434710 9371900 10121652 11246280 11714875 12652065 14057850 16869420 18743800 20243304 21086775 23429750 25304130 28115700 33738840 35144625 42173550 46859500 50608260 56231400 63260325 70289250 84347100 93719000 101216520 105433875 126520650 140578500 168694200 210867750 253041300 281157000 316301625 421735500 506082600 632603250 843471000 1265206500 2530413000